differentiation

Question: If $\sin (xy) + \frac{x}{y} = {x^2} - y,$then $\frac{{dy}}{{dx}} = $



1) $\frac{{y[2xy - {y^2}\cos (xy) - 1]}}{{x{y^2}\cos (xy) + {y^2} - x}}$
2) $\frac{{[2xy - {y^2}\cos (xy) - 1]}}{{x{y^2}\cos (xy) + {y^2} - x}}$
3) $ - \frac{{y[2xy - {y^2}\cos (xy) - 1]}}{{x{y^2}\cos (xy) + {y^2} - x}}$
4) None of these
Solution: Explanation: Explanation
Implicit-function

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